Ordinary differential equations Stability Concept
Asymptotic stability
Summary
An equilibrium point is asymptotically stable if it is Lyapunov stable and nearby solutions converge to it as time tends to infinity. See the definition.
Where this leads
4 pages build on this one.
Further reading
- Web https://en.wikipedia.org/wiki/Lyapunov_stability, lead section
About this page
| Tag | 0NB689782W |
|---|---|
| URI | m2://0NB689782W |
| Kind | concept |
| Writing | W0 stub |
| MSC | 34D20 |
| Specializes | Lyapunov stability |
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Definitions
Used by
- Failure of Kalman's conjecture
- Counterexample to the Markus–Yamabe conjecture
- Tikhonov's theorem on slow-fast systems
- Failure of Aizerman's conjecture